Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Equations with fractions

Total questions: 39

Worksheet time: 41mins

Name
Class
Date
1.
1/2x = 3/4

Write your answer as a mixed number in simplest form.
a)
x = 1 1/2
b)
x = 3/8
c)
x = 3/2
d)
x = 1 2/4
2.
h - 3/8 = -11/24
a)
1/12
b)
- 1/12
c)
- 1/6
d)
1/6
3.
 d - 3/7 = 5/7
a)
8/7
b)
6/7
c)
4/7
d)
3/7
4.
a)
1/7
b)
47/36
c)
7
d)
23
5.
a)
-14/9
b)
-9/14
c)
-21/6
d)
6/21
6.
a)
x=  9   1/3
b)
x = 21/4
c)
x = 5    1/4
d)
None of the above
7.
3/4(6x + 2) = 15
a)
3
b)
6
c)
18
d)
20
8.
Solve for m:  3/4(m-4)=9
a)
16
b)
-12
c)
-18
d)
24
9.
a)
7
b)
-16
c)
4
d)
-15
10.

1. Which figure shows  34\frac{3}{4}  ?

a)
b)
c)
d)
11.

 What is  810×512\frac{8}{10}\times\frac{5}{12}  ?(Write your answer in simplest form)

a)

 15\frac{1}{5}  

b)

 1322\frac{13}{22}  

c)

 13\frac{1}{3}  

d)

 16\frac{1}{6}  

12.

solve for m:

 23(9m−6)=20\frac{2}{3}\left(9m-6\right)=20  

a)

 m=4m=4  

b)

 m=3m=3  

c)

 m=2m=2  

d)

 m=8m=8  

13.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

14.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

15.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

16.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

17.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

18.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

19.

Find the value of the unknown variableA

a)

A

b)

B

c)

C

d)

D

20.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

21.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

22.

 Solve.  3a −14 = −2a + 4−2Solve.\ \ \frac{3a\ -1}{4}\ =\ \frac{-2a\ +\ 4}{-2}  


ONLY PUT THE NUMBER AS THE ANSWER!



(a)  

23.

 Solve for d.  d 3 + 2d9= −5Solve\ for\ d.\ \ \frac{d\ }{3}\ +\ \frac{2d}{9}=\ -5  

Write the number of the answer only!

(a)  

24.

 Solve for y.    2y − 53 − 4 = y + 25Solve\ for\ y.\ \ \ \ \frac{2y\ -\ 5}{3}\ -\ 4\ =\ \frac{y\ +\ 2}{5}  

(a)  

25.

 10×10×10×10×10=10\times10\times10\times10\times10=  

a)

 10×510\times5  

b)

 10510^5  

26.

Which number is the BASE? 272^7 =128

a)

2

b)

7

c)

128

d)

 272^7  

27.

 3650=365^0=  

a)

0

b)

1

c)

365

d)

 1365\frac{1}{365}  

28.

 x−5x^{-5}  =

a)

 1x−5\frac{1}{x^{-5}}  

b)

 1x5\frac{1}{x^5}  

c)

 x51\frac{x^5}{1}  

d)

 x−51\frac{x^{-5}}{1}  

29.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

30.

 x3⋅x4 =x^3\cdot x^4\ =  

a)

 x12 x^{12\ }  

b)

 x−1x^{-1}  

c)

 x7x^7  

d)

 x34x^{34}  

31.

 m2⋅m6⋅m=m^2\cdot m^6\cdot m=  

a)

 m8m^8  

b)

 m12m^{12}  

c)

 m4m^4  

d)

 m9m^9  

32.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

33.

 x9x4\frac{x^9}{x^4}  =

a)

 x13x^{13}  

b)

 x36x^{36}  

c)

 x5x^5  

d)

 x−5x^{-5}  

34.

 x17x8\frac{x^{17}}{x^8}  

a)

 x9x^9  

b)

 x25x^{25}  

c)

 x−9x^{-9}  

d)

 x−25x^{-25}  

35.

 9x23x=\frac{9x^2}{3x^{ }}=  

a)

 3x23x^2  

b)

 3x3x 

c)

 9x9x  

d)

 6x6x  

36.

 a5b10a3b6=\frac{a^5b^{10}}{a^3b^6}=  

a)

 a8b16a^8b^{16}  

b)

 a2b4a^2b^4  

c)

 a15b60a^{15}b^{60}  

d)

 a2b16a^2b^{16}  

37.

 (x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

38.

 (x7)2\left(x^7\right)^2  =

a)

 x14x^{14}  

b)

 x9x^9  

c)

 x5x^5  

d)

 2x72x^7  

39.

 (a3b5)7\left(a^3b^5\right)^7  =

a)

 a3b35a^3b^{35}  

b)

 a10b12a^{10}b^{12}  

c)

 a8b8a^8b^8  

d)

 a21b35a^{21}b^{35}